Stability of the electron cyclotron resonance

TL;DR

This paper investigates the stability of electron cyclotron resonance in a quantum system with magnetic and electric fields, demonstrating its insensitivity to impurity potentials through rigorous analysis.

Contribution

It provides a theoretical proof that electron cyclotron resonance remains unaffected by impurity potentials in a quantum setting with oscillating electric and magnetic fields.

Findings

Electron cyclotron resonance is stable against impurity potentials.

The magnetic AC Stark effect is analyzed in a quantum context.

Resonance insensitivity is rigorously proven.

Abstract

We consider the magnetic AC Stark effect for the quantum dynamics of a single particle in the plane under the influence of an oscillating homogeneous electric and a constant perpendicular magnetic field. We prove that the electron cyclotron resonance is insensitive to impurity potentials.